Geodesic
The Kervaire – Laudenbach Conjecture and Presentations of Simple Groups
Algebra i logika, Tome 44 (2005) no. 4, pp. 399-437

Voir la notice de l'article provenant de la source Math-Net.Ru

The statement “no non-Abelian simple group can be obtained from a non-simple one by adding one generator and one relator” first is equivalent to the Kervaire – Laudenbach conjecture, and second, becomes true under the additional assumption that an initial non-simple group is either finite or torsion free.
Mots-clés : Kervaire – Laudenbach conjecture, simple group, car motion, cocar comotion.
Keywords: relative presentation 
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     author = {A. A. Klyachko},
     title = {The {Kervaire~{\textendash}} {Laudenbach} {Conjecture} and {Presentations} of {Simple} {Groups}},
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     number = {4},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2005_44_4_a1/}
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A. A. Klyachko. The Kervaire – Laudenbach Conjecture and Presentations of Simple Groups. Algebra i logika, Tome 44 (2005) no. 4, pp. 399-437. http://geodesic.mathdoc.fr/item/AL_2005_44_4_a1/